This work deals with a family of dynamical systems which were introduced in [M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Models Methods Appl. Sci. 7 (2004) 1061–1084], modelling the evolution of a population of interacting individuals, distinguished by their social state. The existence of certain uniform distribution equilibria is proved and the asymptotic trend is investigated
BERTOTTI ML, DELITALA M (2006). On the qualitative analysis of the solutions of a mathematical model of social dynamics. APPLIED MATHEMATICS LETTERS, 19(10), 1107-1112 [10.1016/j.aml.2005.12.001].
On the qualitative analysis of the solutions of a mathematical model of social dynamics
BERTOTTI, Maria Letizia;
2006-01-01
Abstract
This work deals with a family of dynamical systems which were introduced in [M.L. Bertotti, M. Delitala, From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences, Math. Models Methods Appl. Sci. 7 (2004) 1061–1084], modelling the evolution of a population of interacting individuals, distinguished by their social state. The existence of certain uniform distribution equilibria is proved and the asymptotic trend is investigated
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